On irreducible description of complex systems


  • This article was submitted as an invited paper resulting from the “Understanding Complex Systems” conference held at the University of Illinois at Urbana-Campaign, May 2007.


The aim of the article is to present the description of complex systems in terms of self-organization processes of prime integer relations and illustrate its main properties. Based on the integers and controlled by arithmetic only, the processes can characterize complex systems by information not requiring further simplification. This raises the possibility to develop an irreducible theory of complex systems. © 2008 Wiley Periodicals, Inc. Complexity, 2009